This is important for any fan to define for themselves, and it’s perfectly acceptable to have it be different than other fans of your team. Were you born in Oklahoma and hate the Sooners, even though you moved away and went to Auburn? Perfectly fine. You should take care to incorporate your team’s standard rivals, though. No Rivalry Hierarchy is complete for an Auburn fan without at least Alabama and Georgia.
Personally, my hierarchy is as follows:
1. Georgia
2. Alabama
3. LSU/Florida
4. The rest of the SEC, including the office of the SEC.